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Light propagation in distributed feedback optical structures with gain/loss regions is shown to provide an accessible laboratory tool to visualize in optics the spectral properties of the one-dimensional Dirac equation with non-Hermitian…

Quantum Physics · Physics 2015-05-19 Stefano Longhi

Silicon photonics has been studied as an integratable optical platform where numerous applicable devices and systems are created based on modern physics and state-of-the-art nanotechnologies. The implementation of quantum mechanics has been…

Optics · Physics 2021-10-01 Changqing Wang , Zhoutian Fu , Lan Yang

A non-Hermitian system can exhibit extensive sensitivity of its complex energy spectrum to the imposed boundary conditions, which is beyond any known phenomenon from Hermitian systems. In addition to topologically protected boundary modes,…

Other Condensed Matter · Physics 2019-05-15 Ching Hua Lee , Ronny Thomale

The ideas of topology have found tremendous success in Hermitian physical systems, but even richer properties exist in the more general non-Hermitian framework. Here, we theoretically propose and experimentally demonstrate a new…

Higher-order topology realizes topologically robust corner modes as a manifestation of nontriviality. We theoretically propose non-Hermitian skin effects which stem from second-order topology of chiral-symmetric Hermitian systems. It is…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Ryo Okugawa , Ryo Takahashi , Kazuki Yokomizo

In this study, we investigate the many-body non-Hermitian skin effect at finite temperatures in the thermodynamic limit. Our findings indicate an interesting correspondence between the non-Hermitian skin effect and a linear electric…

Other Condensed Matter · Physics 2023-11-07 Kui Cao , Qian Du , Su-Peng Kou

Symmetry and its representation play a crucial role in topological phases, including both Hermitian and non-Hermitian paradigms. In the presence of synthetic gauge field, spatial symmetries should be projectively represented, which can…

Mesoscale and Nanoscale Physics · Physics 2026-01-13 Pengtao Lai , Xiangru Chen , Yugan Tang , Yejian Hu , Zhenhang Pu , Hui Liu , Weiyin Deng , Hua Cheng , Zhengyou Liu , Shuqi Chen

Topological phases of Hermitian systems are known to exhibit intriguing properties such as the presence of robust boundary states and the famed bulk-boundary correspondence. These features can change drastically for their non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2019-07-01 Flore K. Kunst , Vatsal Dwivedi

Parity-time ($\mathcal{PT}$) symmetry plays an important role both in non-Hermitian and topological systems. In non-Hermitian systems $\mathcal{PT}$ symmetry can lead to an entirely real energy spectrum, while in topological systems…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 W. B. Rui , Moritz M. Hirschmann , Andreas P. Schnyder

The discovery of topological phases in non-Hermitian open classical and quantum systems challenges our current understanding of topological order. Non-Hermitian systems exhibit unique features with no counterparts in topological Hermitian…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Stefano Longhi

Non-Hermitian systems have been discussed mostly in the context of open systems and nonequilibrium. Recent experimental progress is much from optical, cold-atomic, and classical platforms due to the vast tunability and clear identification…

Mesoscale and Nanoscale Physics · Physics 2024-01-25 Xiao-Xiao Zhang , Naoto Nagaosa

In the last two decades, the ubiquitous effect of dissipation has proven to entail astonishing non-Hermitian features, rather than just being an inescapable nuisance. As an alternative route to non-Hermiticity, we tailor the anisotropy of a…

Non-Hermiticity gives rise to unique topological phases without Hermitian analogs. However, the effective field theory has yet to be established. Here, we develop a field-theoretical description of the intrinsic non-Hermitian topological…

Mesoscale and Nanoscale Physics · Physics 2021-06-01 Kohei Kawabata , Ken Shiozaki , Shinsei Ryu

Non-Hermitian physics has added new ingredients to topological physics, leading to the rising frontier of non-Hermitian topological phases. In this study, we investigate Chern insulator phases emerging from non-Hermitian kagome models with…

Materials Science · Physics 2024-05-13 Li-Wei Wang , Zhi-Kang Lin , Jian-Hua Jiang

Based on a general transport theory for non-reciprocal non-Hermitian systems and a topological model that encompasses a wide range of previously studied models, we (i) provide conditions for effects such as reflectionless and transparent…

Mesoscale and Nanoscale Physics · Physics 2021-08-20 Hamed Ghaemi-Dizicheh , Henning Schomerus

We investigate theoretically tunable non-Hermitian skin effect in systems with gain and loss, and find that bipolar (quadripolar) non-Hermitian skin effect characterized by topological invariants in one (two)-dimensional system. We also…

Applied Physics · Physics 2024-10-29 Wen-Cheng Jiang , Hong Wu , Jian Li , Qing-Xu Li , Jia-Ji Zhu

We consider conditions for the existence of boundary modes in non-Hermitian systems with edges of arbitrary co-dimension. Through a universal formulation of formation criteria for boundary modes in terms of local Green functions, we outline…

Mesoscale and Nanoscale Physics · Physics 2020-02-12 Dan S. Borgnia , Alex Jura Kruchkov , Robert-Jan Slager

The excitation properties of quantum many-body systems are encoded in their response functions. These functions define an associated response Hamiltonian, which is intrinsically non-Hermitian due to the dissipative nature of retarded…

Mesoscale and Nanoscale Physics · Physics 2025-09-24 Zhesen Yang , Zihan Wang , Juntao Huang , Zijian Zheng , Jiangping Hu

In this article we study 3D non-Hermitian higher-order Dirac semimetals (NHHODSMs). Our focus is on $C_4$-symmetric non-Hermitian systems where we investigate inversion ($\mathcal{I}$) or time-reversal ($\mathcal{T}$) symmetric models of…

Mesoscale and Nanoscale Physics · Physics 2021-11-10 Sayed Ali Akbar Ghorashi , Tianhe Li , Masatoshi Sato , Taylor L. Hughes

In this paper, a non-Hermitian two-dimensional photonic crystal flat lens is proposed. The negative refraction of the second band of photonic crystal is utilized to realize super-resolution imaging of the point source. Based on the…

Optics · Physics 2019-12-16 Longfei Li , Jianlan Xie , Jianjun Liu
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